Problem 41
In Exercises 41 and \(42,\) cvaluate the expression. $$\sin \left(\cos ^{-1}\left(\frac{7}{11}\right)\right)$$
Problem 41
In Exercises \(39-42,\) draw the graph and determine the domain and range of the function. $$y=\log _{2}(x+1)$$
Problem 41
For what value of \(k\) are the two lines \(2 x+k y=3\) and \(x+y=1\) (a) parallel? (b) perpendicular?
Problem 41
You may use a graphing calculator to solve the following problems. True or False The number \(3^{-2}\) is negative. Justify your answer.
Problem 41
Multiple Choice Which of the following describes the graph of the parametric curve \(x=3 t, y=2 t, t \geq 1 ? \mathrm{}\) (A) circle (B) parabola (C) ellipse (D) hyperbola (E) line
Problem 42
In Exercises \(39-42,\) draw the graph and determine the domain and range of the function. $$y=\log _{3}(x-4)$$
Problem 42
True or False If \(4^{3}=2^{a},\) then \(a=6 .\) Justify your answer.
Problem 42
In Exercises 41 and \(42,\) cvaluate the expression. $$\tan \left(\sin ^{-1}\left(\frac{9}{13}\right)\right)$$
Problem 42
Multiple Choice Which of the following describes the graph of the parametric curve \(x=3 t, y=2 t, t \geq 1 ? \mathrm{E}\) (A) circle (B) parabola (C) line segment (D) line (E) ray
Problem 43
Multiple Choice John invests \(\$ 200\) at 4.5\(\%\) compounded annually. About how long will it take for John's investment to double in value? (A) 6 yrs (B) 9 yrs (C) 12 yrs (D) 16 yrs (E) 20 yrs
